Fraction of a Fraction

Here we will learn fraction of a fraction.

Let us look at the picture of a chocolate bar. The chocolate bar has 6 parts in it. Each part of the chocolate is equal to $\frac{1}{6}$ . Sharon wants to eat $\frac{1}{2}$ of one chocolate part.

What is $\frac{1}{2}$ of $\frac{1}{6}$ ?

$Fraction of a Fraction$

$\frac{1}{2}$ of $\frac{1}{6}$ = $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$

$\frac{1}{2}$ of $\frac{1}{6}$ is equal to $\frac{1}{12}$

So, to find the fraction of a fraction we directly multiply $\frac{1}{2}$ by $\frac{1}{6}$ .

Solved Examples on Fraction of a Fraction:

Find $\frac{2}{3}$ of $\frac{3}{4}$ .

Solution:

$\frac{2}{3}$ of $\frac{3}{4}$

= $\frac{2}{3}$ × $\frac{3}{4}$

= $\frac{6}{12}$

= $\frac{1}{2}$

So, $\frac{2}{3}$ of $\frac{3}{4}$ = $\frac{1}{2}$

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Fraction of a Fraction

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